Heat distribution in rectangular fins using efficient finite element and differential quadrature methods
Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computati...
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| Format: | Article |
| Language: | English |
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Scientific Research Publishing
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/14146/ http://psasir.upm.edu.my/id/eprint/14146/1/Engineering20090300003_51977390.pdf |
| _version_ | 1848842312676802560 |
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| author | Basri, Shahnor Fakir, Md. Moslemuddin Mustapha, Faizal Abang Abdul Majid, Dayang Laila Jaafar, Abdul Aziz |
| author_facet | Basri, Shahnor Fakir, Md. Moslemuddin Mustapha, Faizal Abang Abdul Majid, Dayang Laila Jaafar, Abdul Aziz |
| author_sort | Basri, Shahnor |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (efficient FEM, EFEM) solution to reduce the computational complexity. Then this EFEM is applied for the solution of one-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and efficient DQM (EDQM), with non-uniform mesh generation). It is found that the EFEM exhibit more accurate results than CFEM and EDQM showing its potentiality. |
| first_indexed | 2025-11-15T07:57:08Z |
| format | Article |
| id | upm-14146 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:57:08Z |
| publishDate | 2009 |
| publisher | Scientific Research Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-141462018-10-05T07:39:03Z http://psasir.upm.edu.my/id/eprint/14146/ Heat distribution in rectangular fins using efficient finite element and differential quadrature methods Basri, Shahnor Fakir, Md. Moslemuddin Mustapha, Faizal Abang Abdul Majid, Dayang Laila Jaafar, Abdul Aziz Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (efficient FEM, EFEM) solution to reduce the computational complexity. Then this EFEM is applied for the solution of one-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and efficient DQM (EDQM), with non-uniform mesh generation). It is found that the EFEM exhibit more accurate results than CFEM and EDQM showing its potentiality. Scientific Research Publishing 2009 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/14146/1/Engineering20090300003_51977390.pdf Basri, Shahnor and Fakir, Md. Moslemuddin and Mustapha, Faizal and Abang Abdul Majid, Dayang Laila and Jaafar, Abdul Aziz (2009) Heat distribution in rectangular fins using efficient finite element and differential quadrature methods. Engineering, 1 (3). pp. 151-160. ISSN 1947-3931; ESSN: 1947-394X https://www.scirp.org/journal/PaperInformation.aspx?PaperID=872 10.4236/eng.2009.13018 |
| spellingShingle | Basri, Shahnor Fakir, Md. Moslemuddin Mustapha, Faizal Abang Abdul Majid, Dayang Laila Jaafar, Abdul Aziz Heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| title | Heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| title_full | Heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| title_fullStr | Heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| title_full_unstemmed | Heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| title_short | Heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| title_sort | heat distribution in rectangular fins using efficient finite element and differential quadrature methods |
| url | http://psasir.upm.edu.my/id/eprint/14146/ http://psasir.upm.edu.my/id/eprint/14146/ http://psasir.upm.edu.my/id/eprint/14146/ http://psasir.upm.edu.my/id/eprint/14146/1/Engineering20090300003_51977390.pdf |